Howtosignalprocessing
Waves can be in a group and such groups are called wave packets, so the velocity with which a wave packet travels is called group velocity. The velocity with which the phase of a wave travels is called phase velocity.
- What do you mean by phase velocity?
- How do you find phase velocity from group velocity?
- Which is greater between group velocity and phase velocity?
- What is the difference between wave velocity and group velocity?
What do you mean by phase velocity?
The phase velocity is defined as the velocity for a single-wavelength wave, whereas the group velocity is defined as the velocity for a packet of waves in which the waves vary in wavelength.
How do you find phase velocity from group velocity?
The phase velocity is: vp = ω/k. The function ω(k), which gives ω as a function of k, is known as the dispersion relation. If ω is directly proportional to k, then the group velocity is exactly equal to the phase velocity. A wave of any shape will travel undistorted at this velocity.
Which is greater between group velocity and phase velocity?
For most substances, therefore, the group velocity is smaller than the phase velocity.
What is the difference between wave velocity and group velocity?
The wave velocity depends on the wavelength of a wave while the group velocity depends on the angular frequency of the waves propagating in a medium.
